Customers angry over domain hosting site GoDaddy’s support of the controversial online piracy bill SOPA (“Stop Online Piracy Act”), currently making its way through the House of Representatives, have pledged to transfer their domains to other hosting companies on December 29. The pledge, which can be found here, was started by Reddit user selfprodigy, when he vowed to remove his 51 domains from GoDaddy.

During the first two days of the boycott, GoDaddy lost 37,000 domains as customers took a stand, according to The Domains, who pulled the figures from DNS changes and web hosting activity monitoring site Daily Changes. These numbers amount to a blip on GoDaddy’s radar, as the company hosts 50 million domains around the world.

According to The Stanford Law Review Online, the main problem with SOPA is that it will “pose grave constitutional problems and that could have potentially disastrous consequences for the stability and security of the Internet’s addressing system, for the principle of interconnectivity that has helped drive the Internet’s extraordinary growth, and for free expression.”

AllThingsD noticed on Wednesday that GoDaddy took out a full-page ad in The New York Times.The advertisement featured a seemingly nude Danica Patrick holding a carefully placed sign which offered discounts on GoDaddy domains. “Resorting to cheeky ads isn’t exactly going to reduce the outrage people feel against the company,” wrote ATD.